Linganisha mbinu

	Uigaji wa Matukio ya Sera za Msitari	Uigaji wa Mfumo wa Msafara wa Stochastiki
Nyanja	Uigaji	Uigaji
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1909 (queueing theory); scenario application from 1960s–1970s OR literature	1953
Mwanzilishi	Erlang, A. K. (foundation); generalized by operations research community	Kendall, D. G.
Aina	Comparative simulation experiment	Stochastic simulation — waiting-line system analysis
Chanzo asilia	Kleinrock, L. (1975). Queueing Systems, Volume 1: Theory. Wiley-Interscience, New York. ISBN: 978-0471491101	Kendall, D. G. (1953). Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. The Annals of Mathematical Statistics, 24(3), 338–354.
Majina mbadala	PSQS, policy queueing analysis, queueing policy comparison, scenario-based queueing model	SQS, Probabilistic Queueing Simulation, Stochastic Queue Modeling, Random Queueing Simulation
Zinazohusiana	5	6
Muhtasari	Policy Scenario Queueing Simulation applies queueing theory and discrete-event simulation to evaluate two or more competing service or resource-allocation policies under realistic demand and capacity conditions. By holding the system structure constant and varying only the policy rules, analysts can directly compare throughput, waiting times, utilization, and equity outcomes before committing to real-world implementation.	Stochastic Queueing Simulation models waiting-line systems where arrival and service processes follow probability distributions rather than fixed rates. By simulating thousands of random events, it estimates performance measures — mean waiting time, queue length, server utilization — under realistic uncertainty, making it the standard tool for designing and evaluating service systems from hospitals to call centers.